What is the asymptotes of f(x)=5x+arctan(5x) ?

The asymptotes of f(x)=5x+arctan(5x) is Slant: y=5x+pi/2 ,y=5x-pi/2

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asymptotes of f(x)=5x+arctan(5x)

asymptotes

f (x) = 5 x + arctan (5 x)

Slant : y = 5 x + \frac{π}{2}, y = 5 x - \frac{π}{2}

Solution steps

Vertical asymptotes of

5 x + arctan (5 x) :

None

Horizontal Asymptotes of

5 x + arctan (5 x) :

None

Slant Asymptotes of

5 x + arctan (5 x) : y = 5 x + \frac{π}{2}, y = 5 x - \frac{π}{2}

Slant : y = 5 x + \frac{π}{2}, y = 5 x - \frac{π}{2}

f (x) = \frac{( 5 x ^{2} + 3 )}{( x ^{2} - 1 )}

\frac{x ^{2} - 1}{x ^{2} - 4} + 1

f (x) = 2^{\frac{1}{l n ∣ x ∣}}

F (x) = (x - 4) \cdot e \frac{1}{x - 2}

f (x) = \frac{x ^{2} + 2 x - 15}{x - 5}

What is the asymptotes of f(x)=5x+arctan(5x) ?
The asymptotes of f(x)=5x+arctan(5x) is Slant: y=5x+pi/2 ,y=5x-pi/2